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From the airport:
From Perth International Airport you can catch the free shuttle bus that will take you to the Perth Domestic Airport.
From Perth Domestic airport you can catch the Bus number 37 or 40.
It will take you 5 minutes walking distance from our hostel.
You have to stop in the corner with Bennett Street and Adelaide Terrace.
The ticket costs is around $4.20

Or you can take the Connect Shuttle Bus.
http://www.perthairportconnect.com.au/
Above I attach the link that will take you to the website.

Or if you prefer a quick way you can take a taxi.
It will cost you around $35/40.

From the city train station:
Take the red CAT inner city free bus service to stop number 5, Carlton stop which is directly in front of the back packers.